Question

An eastward flow with a speed of 10 m/s goes from station M to station N, which are separated by a distance of 1 km. The temperature at station N is always higher than that at station M by 10 K. The absolute change in temperature due to advection at the mid-point between the stations in 50 s is \(\underline{\hspace{2cm}}\) K (round off to nearest integer).

Hint:

Advection of temperature is calculated using the velocity of the fluid and the temperature gradient.

Answer 1

Correct Answer: 4

The absolute change in temperature due to advection is given by: \[ \Delta T = V \cdot \frac{\Delta T}{\Delta x} \cdot \Delta t, \] where:
- \( V \) is the velocity,
- \( \Delta T \) is the temperature difference,
- \( \Delta x \) is the distance,
- \( \Delta t \) is the time interval.
Substituting the given values: \[ \Delta T = 10 \times \frac{10}{1} \times 50 = 5000 \, \text{K}. \] Thus, the absolute change in temperature is \( 5000 \, \text{K} \).